Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

p16.11 An assembly consisting of tie rod (1) and pipe strut (2)
is used to support an 80 kip load, which is applied to joint B. Strut
(2) is a pin-connected steel [E = 29,000 ksi] pipe with an outside
diameter of 8.625 in. and a wall thickness of 0.322 in. For the loading
shown in Figure P16.11, determine the factor of safety with
respect to buckling for member (2).
A
p16.13 A simple pin-connected truss is loaded and supported as
shown in Figure P16.13. The dimensions of the truss are a = 7 ft and
b = 10 ft. The loads on the truss are P = 20 kips, Q = 12 kips, and
R = 5 kips. All members of the truss are aluminum [E = 10,000 ksi]
pipes with an outside diameter of 4.00 in. and a wall thickness of
0.226 in. Consider all compression members, and determine the
minimum factor of safety for the truss with respect to failure by
buckling.
(1)
B
12 ft
P
P
(2)
80 kips
30 ft
E
F
a
Q
C
D
R
C
24 ft
FIGURE p16.11
A
B
a
p16.12 A tie rod (1) and a structural steel WT shape (2) are used
to support a load P as shown in Figure P16.12. Tie rod (1) is a solid
1.125 in. diameter steel rod, and member (2) is a WT8 × 20 structural
shape oriented so that the tee stem points upward. Both the tie
rod and the WT shape have an elastic modulus of 29,000 ksi and a
yield strength of 36 ksi. Determine the maximum load P that can be
applied to the structure if a factor of safety of 2.0 with respect to
failure by yielding and a factor of safety of 3.0 with respect to failure
by buckling are specified.
b
FIGURE p16.13
p16.14 A simple pin-connected wooden truss is loaded and
supported as shown in Figure P16.14. The members of the truss are
150 mm by 150 mm square Douglas fir timbers that have an elastic
modulus E = 11 GPa. Consider all compression members, and
determine the minimum factor of safety for the truss with respect to
failure by buckling.
16 ft
C
F G H
(1)
12 ft
4 m
(2)
A B C D E
A
WT8 × 18
P
B
13 kN 22 kN 9 kN
4 spaces @ 3 m = 12 m
FIGURE p16.12
FIGURE p16.14
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